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A Mathematical Model for Curriculum Learning for Parities
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use a two-step curriculum, beginning with a biased distribution and switching to the uniform distribution | 2-layer ReLU network learning a 20-parity over 100 bits · 20-parity over 100 bits | convergence time: 16,000 epochs; no curriculum does not achieve non-trivial correlation in 25,000 epochs | Helped |
| Use a continuous curriculum instead of a sharp two-step switch | 2-layer ReLU network learning a 20-parity over 100 bits · 20-parity over 100 bits | test error under the uniform distribution | Mixed |
| Vary the initial bias in a two-step curriculum (ablation) | 2-layer ReLU network learning a 10-parity over 100 bits · 10-parity over 100 bits | convergence time: p1 = 0.001, 0.05,0.1,0.15,...,0.95,0.999; 100,000 | Mixed |
| Use a bounded-step curriculum for Hamming mixtures | Noisy gradient descent on fully connected networks · Hamming mixtures | correlation with target under the uniform distribution: o_d(1) | Hurt |
| Use a two-step curriculum with an initial bias near 1/2 (ablation) | 2-layer ReLU network learning a 10-parity over 100 bits · 10-parity over 100 bits | convergence time: 100,000 | Hurt |
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